LCM of 684, 921, 486, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 921, 486, 972 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 684, 921, 486, 972. So, keep reading to learn more.
Given numbers are 684,921,486,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,921,486,972 is 5669676.
Find LCM of 684,921,486,972 with Prime Factorization
| 2 | 684, 921, 486, 972 |
| 2 | 342, 921, 243, 486 |
| 3 | 171, 921, 243, 243 |
| 3 | 57, 307, 81, 81 |
| 3 | 19, 307, 27, 27 |
| 3 | 19, 307, 9, 9 |
| 3 | 19, 307, 3, 3 |
| 19, 307, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 19 x 307 x 1 x 1 = 5669676
Therefore, the lowest common multiple of 684,921,486,972 is 5669676.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
684 x 921 x 486 x 972 = 297589953888
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
921 : 1, 3, 307, 921
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,921,486,972, is 3.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
921:3x 307
486:2x 3x 3x 3x 3x 3
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 3x 3x 3 = 17496
Therefore, the value for common factors is 17496.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 297589953888/(3x17496)
LCM = 297589953888/52488
LCM = 5669676
Thus, we can understand that the LCM of 684,921,486,972 is 5669676.
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FAQs on LCM of 684, 921, 486, 972
1. What is the LCM of 684, 921, 486, 972?
Answer: LCM of 684, 921, 486, 972 is 5669676.
2. How to calculate the LCM of 684, 921, 486, 972?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 684, 921, 486, 972.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.